The proposed changes would cover all allotments owned by the council and could see revisions made to the co-worker registration system, which allows friends and family to take over a plot if they have helped maintain it for five years.
The council said the current system had “caused upset where plots hold emotional significance” and co-workers had not met the requirements to take over them.
Allotments are very popular and more than 2,000 people are on the council’s waiting list for one.
Other changes would see the mandatory minimum amount of each plot used for growing fruit and vegetables reduced from 75% to 50%, while fruit trees would not be allowed to take up more than 25%.
Rules around how animals are kept will also be reviewed, with larger structures being allowed for those who keep pigeons.
The consultation will close on 1 February.